An illustrated theory of hyperbolic virtual polytopes

DOI10.2478/s11533-008-0020-1zbMath1145.52004OpenAlexW1976316821MaRDI QIDQ931598

Marina Knyazeva, Gaiane Yu. Panina

Publication date: 25 June 2008

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-008-0020-1

zbMATH Keywords

hyperbolic virtual polytopevirtual polytopesaddle surfaceA.D. Alexandrov's conjecture

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Convex sets in (3) dimensions (including convex surfaces) (52A15) Polyhedral manifolds (52B70)

Related Items (2)

A new example of a hyperbolic virtual polytope ⋮ Pointed spherical tilings and hyperbolic virtual polytopes

Cites Work

• Unnamed Item
• Isotopy problems for saddle surfaces
• Hedgehog theory and polytopes
• On hyperbolic virtual polytopes and hyperbolic fans
• Contre-exemple à une caractérisation conjecturée de la sphère
• New counterexamples to A. D. Alexandrov’s hypothesis

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